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If (a=2^7\times3^2\times5\times11) and (b=2^4\times3^6\times5^3\times7), what is (\frac{\text{LCM}}{\text{HCF}})?
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Answer and explanation
Correct answer: (2^3\times3^4\times5^2\times7\times11)
Step 1: HCF is (2^4\times3^2\times5), and LCM is (2^7\times3^6\times5^3\times7\times11). Step 2: On division, subtract powers to get (2^3\times3^4\times5^2\times7\times11). Step 3: In ratios, subtract exponents of the same base.
Frequently asked questions
What is the correct answer to this question?
(2^3\times3^4\times5^2\times7\times11)
Why is this the correct answer?
Step 1: HCF is (2^4\times3^2\times5), and LCM is (2^7\times3^6\times5^3\times7\times11). Step 2: On division, subtract powers to get (2^3\times3^4\times5^2\times7\times11). Step 3: In ratios, subtract exponents of the same base.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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